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Finding the Third Proportional to 747,016 and 1,639,152

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Solution

The third proportional to 747,016 and 1,639,152 is: 3,596,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,016 : 1,639,152 = 1,639,152 : x
  2. Step 2: Convert to fraction form
    747,016/1,639,152 = 1,639,152/x
  3. Step 3: Cross multiply
    747,016x = 1,639,152 × 1,639,152
  4. Step 4: Simplify right side
    747,016x = 2,686,819,279,104
  5. Step 5: Solve for x
    x = 2,686,819,279,104/747,016
  6. Step 6: Final answer
    x = 3,596,735.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.